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23444514030 = 2357225762057
BaseRepresentation
bin10101110101011001…
…101110010011101110
32020111212222201012110
4111311121232103232
5341003243422110
614434213144450
71456656036600
oct256531562356
966455881173
1023444514030
119a408a9433
12466362b126
1322981b7b12
1411c595d170
15923367a20
hex57566e4ee

23444514030 has 96 divisors (see below), whose sum is σ = 65708996256. Its totient is φ = 5337808896.

The previous prime is 23444514017. The next prime is 23444514047. The reversal of 23444514030 is 3041544432.

23444514030 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346762 + ... + 408818.

It is an arithmetic number, because the mean of its divisors is an integer number (684468711).

Almost surely, 223444514030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23444514030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32854498128).

23444514030 is an abundant number, since it is smaller than the sum of its proper divisors (42264482226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23444514030 is a wasteful number, since it uses less digits than its factorization.

23444514030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62338 (or 62331 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 23444514030 in words is "twenty-three billion, four hundred forty-four million, five hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 257 294 490 514 735 771 1285 1470 1542 1799 2570 3598 3855 5397 7710 8995 10794 12593 17990 25186 26985 37779 53970 62057 62965 75558 124114 125930 186171 188895 310285 372342 377790 434399 620570 868798 930855 1303197 1861710 2171995 2606394 3040793 4343990 6081586 6515985 9122379 13031970 15203965 15948649 18244758 30407930 31897298 45611895 47845947 79743245 91223790 95691894 111640543 159486490 223281086 239229735 334921629 478459470 558202715 669843258 781483801 1116405430 1562967602 1674608145 2344451403 3349216290 3907419005 4688902806 7814838010 11722257015 23444514030